Example 8-3-6 - Maple Help



Chapter 8: Applications of Triple Integration



Section 8.3: First Moments



Example 8.3.6



 a) Obtain the centroid of $R$, the region that lies between the plane $z=0$ and the paraboloid $z=9-{x}^{2}-{y}^{2}$.
 b) Impose the density $\mathrm{δ}\left(r,\mathrm{θ},z\right)=z$ on $R$ and find the resulting center of mass.

(See Example 8.1.20.)